On the Entropy of Four-Dimensional Near-Extremal N=2 Black Holes with R^2-Terms

Physics – High Energy Physics – High Energy Physics - Theory

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20 pages. v2: appendix added. references added. minor fixes. v3: minor comments. up to date with JHEP version. v4: significant

Scientific paper

10.1088/1126-6708/2007/12/050

We consider the entropy of four-dimensional near-extremal N=2 black holes. Without R^2-terms, the Bekenstein-Hawking entropy formula has the structure of the extremal black holes entropy with a shift of the charges depending on the non-extremality parameter and the moduli at infinity. We derive a generalized Wald entropy formula for non-extremal N=2 black holes with R^2-terms. We construct a class of small near-extremal horizon solutions with R^2-terms. In this case the entropy is the same as in the extremal case to order O(mu^2), and does not exhibit the charge shift behavior.

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